Base field \(\Q(\sqrt{53}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 13 \); class number \(1\).
Elliptic curves in class 7.2-a over \(\Q(\sqrt{53}) \)
Isogeny class 7.2-a contains 2 curves linked by isogenies of degree 7.
| Curve label | Weierstrass Coefficients |
|---|---|
| 7.2-a1 | \( \bigl[0\) , \( a\) , \( a\) , \( -a\) , \( -4\bigr] \) |
| 7.2-a2 | \( \bigl[0\) , \( a\) , \( a\) , \( -351 a - 2730\) , \( -11879 a - 60953\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 7 \\ 7 & 1 \end{array}\right)\)
Isogeny graph
